Why does the emty set is called a finite set ? As per your notings finite set contains a finite no. of elements, but how is this true for Empty set. Kindly Explain.

Open in App

Solution

Hi Ashutosh!

A set is called finite set if it contains finite number of elements. The elements of the finite set are countable. An empty set has no elements i.e., an empty set contains 0 element. Since 0 is countable so, an empty set is finite.

Cheers!

Suggest Corrections

Similar questions

DEFNITION - A set which is empty or consists of a different number of element is called a finite set? THIS DEFNITION IS WRITTEN IN NCERT BOOK. WHY WE USE THE WORD EMPTY THEIR?

Q. Classify the following sets into empty set, finite set and infinite set. In case of (non-empty) finite sets, mention the cardinal number.
{x | x is a letter in word SUFFICIENT}

Q. Classify the following sets into empty set, finite set and infinite set. In case of (non-empty) finite sets, mention the cardinal number.
{x | x is a digit in the numeral 550131527}

Q. Classify the following sets into empty set, finite set and infinite set. In case of (non-empty) finite sets, mention the cardinal number.
{all straight lines drawn in a plane}

Q. Classify the following sets into empty set, finite set and infinite set. In case of (non-empty) finite sets, mention the cardinal number.
{multiple of 5}

Join BYJU'S Learning Program

Why does the emty set is called a finite set ? As per your notings finite set contains a finite no. of elements, but how is this true for Empty set. Kindly Explain.

Hi Ashutosh! A set is called finite set if it contains finite number of elements. The elements of the finite set are countable. An empty set has no elements i.e., an empty set contains 0 element. Since 0 is countable so, an empty set is finite. Cheers!

Hi Ashutosh!

A set is called finite set if it contains finite number of elements. The elements of the finite set are countable. An empty set has no elements i.e., an empty set contains 0 element. Since 0 is countable so, an empty set is finite.

Cheers!